Some unit cubes are put together to form a larger cube. Some of the
larger cube's faces are painted and then it is taken apart. 45 small
cubes are found to have no paint on them. How many faces of the large
cube were painted?

In a parallel universe, the numbering system in use is based on the 26-
character Roman alphabet. In this universe you are driving from New York
to San Francisco. A road sign indicates you are BBQ miles from San
Francisco. Are you closer to...

Write a 10 digit number where the first digit tells you the number of
zeros in the 10 digit number, the second digit is the number of ones
in the number, the third digit is the number of twos in the number and
so on until the 10th digit is the number of nines in the number.